Finding the Third Proportional to 2,616.75 and 4,084.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,616.75 : 4,084.31 = 4,084.31 : x
2. Step 2: Convert to fraction form
   2,616.75/4,084.31 = 4,084.31/x
3. Step 3: Cross multiply
   2,616.75x = 4,084.31 × 4,084.31
4. Step 4: Simplify right side
   2,616.75x = 16,681,608.60
5. Step 5: Solve for x
   x = 16,681,608.60/2,616.75
6. Step 6: Final answer
   x = 6,374.93